TheDogeKing101 TheDogeKing101
  • 19-12-2019
  • Mathematics
contestada

Solve 4^(x+2) = 12 for x using the change of base formula log base b of y equals log y over log b.

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Yang100
Yang100 Yang100
  • 19-12-2019

Answer:

x=ln(12)/ln(4)-2

Step-by-step explanation:

4^(x+2)=12

x+2=ln(12)/ln(4)

x=ln(12)/ln(4)-2

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xero099
xero099 xero099
  • 23-04-2020

Answer:

[tex]x \approx -0.208[/tex]

Step-by-step explanation:

By applying logarithms to each side of the equation and some algebraic handling:

[tex]x+2 = \log_{4} 12[/tex]

[tex]x + 2 = \frac{\log_{10} 12}{\log_{10} 4}[/tex]

[tex]x = \frac{\log_{10}12}{\log_{10}4} - 2[/tex]

[tex]x \approx -0.208[/tex]

Answer Link

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